The value of
`[5.7 div 1.9 " of " 0.4] div 1.5` is :

Options

A. 0.25
B. 0.5
C. 25
D. 5

Answer

To solve the expression \((5.7 \div 1.9) \text{ of } (0.4 \div 1.5)\), we will follow the order of operations, often remembered by the acronym BODMAS/BIDMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Calculate \(5.7 \div 1.9\)**:
\[ 5.7 \div 1.9 = 3 \]
(You can use a calculator or perform long division to find this value.)

**Hint**: When dividing, think about how many times the divisor fits into the dividend.

2. **Calculate \(0.4 \div 1.5\)**:
\[ 0.4 \div 1.5 = \frac{0.4}{1.5} = \frac{4}{15} \approx 0.267 \]
(You can convert this to a decimal or keep it as a fraction.)

**Hint**: To divide by a decimal, you can multiply both the numerator and denominator by 10 to eliminate the decimal.

3. **Now, we need to find the value of \(3 \text{ of } \left(\frac{4}{15}\right)\)**:
The term "of" in mathematics often refers to multiplication. Therefore, we can rewrite this as:
\[ 3 \times \frac{4}{15} = \frac{12}{15} = \frac{4}{5} \]

**Hint**: Remember that "of" usually indicates multiplication in mathematical expressions.

4. **Finally, we need to divide this result by \(1.5\)**:
\[ \frac{4}{5} \div 1.5 = \frac{4}{5} \div \frac{3}{2} = \frac{4}{5} \times \frac{2}{3} = \frac{8}{15} \]

**Hint**: Dividing by a fraction is the same as multiplying by its reciprocal.

### Final Answer:
The value of \((5.7 \div 1.9) \text{ of } (0.4 \div 1.5)\) is \(\frac{8}{15}\).